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0.9 gm of a volatile solid organic compound (molecular weight = 90) containing carbon, hydrogen and oxygen was heated with 224 ml of oxygen at 1 atm & $0 ° C .$ After combustion, the total volume of gases was 560 ml at same T and P. On treatment with aq.KOH, the volume decreased to 112 ml. Determine the value of $x + y + z$ if molecular formula of organic compound is $C_{x} H_{y} O_{z}$

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Detailed Solution

$C_{x} H_{y} O_{z} + (x + \frac{y}{4} - \frac{z}{2}) O_{2} \to x C O_{2} + \frac{y}{2} H_{2} O$

0.01 0.01 0 0
0 0.01 $- (x + \frac{y}{4} - \frac{z}{2}) 0.01 x \times 0.01$

$\to$ but $n_{C O_{2}} = 0.02 = 0.01 x \Rightarrow x = 2$
$\to 0.01 [1 - \frac{y}{4} + \frac{z}{2}] = 0.025, ∴ 2 z - y = 6, x = 2, y = 2, z = 4$

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